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        = 0.0019 ∙     ∙ (            +  21.0584) ∙ (      −  0.0874 ∙    ) 0.6278
                                    0
                      
                                                                  
                                                                                
               Where:
               • Tavg: Daily average temperature (°C)

               • T Dj: Daily difference between maximum and minimum temperature (°C)
               • Pj: Daily precipitation (mm)

               • S0: Extraterrestrial solar radiation (mm/day)

               The daily PET estimates were aggregated to annual values for further analysis. Current climate

               data  used  in  baseline  modelling  (ET  and  PET  from  the  SSEBop  v52,  GLEAM  v43  and

               precipitation  from  CHIRPS4  database)  were  used  to  derive  a  relationship  between
               precipitation,  ET,  and  PET  under  current  conditions  following  the  Budyko  framework  as

               detailed by Gunkel and Lange (2017):

                                               1
                                             
                                                 
                   = 1 +      − [1 + (    )  ]
                                          

                Where    is a dimensionless parameter that reflects basin-specific characteristics. For the
                Volta River Basin,    was calibrated to 1.8, consistent with the literature for semi-arid
                regions.

               3.8 Analysis of Projected Climate Scenarios


               Figure 5 depicts the monthly mean precipitation trends for the baseline period (2003–2021)
               and future projections (2025–2050) based on the GFDL-ESM4 and MPI-ESM1-2-HR models.

               The uni-modal distribution is evident across all scenarios, with a peak in August, reflecting the

               region's  characteristic  rainy  season.  A  dip  is  observed  during  November–December  and

               January–February, corresponding to the drier periods of the year.
               The GFDL-ESM4 model projects a slightly reduced precipitation peak in August compared to

               the baseline, suggesting a decrease in overall wet season rainfall. Conversely, the MPI-ESM1-

               2-HR model projects an increased peak rainfall in August, indicating a wetter wet season

               relative to the baseline. Despite these variations in magnitude, both models maintain similar
               seasonal  patterns,  reinforcing  the  persistence  of  uni-modal  precipitation  dynamics  in  the

               Volta River Basin.



               2  Actual   ET (ETa) is produced using the operational Simplified Surface Energy Balance (SSEBop) model (USGS -   FEWS NET Daily Actual
               Evapotranspiration (ET))
               3  https://www.gleam.eu/
               4  The Climate Hazards Group, The University of California, Santa Barbara, (https://www.chc.ucsb.edu/data/chirps)
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